Destruction of Anderson localization by a weak nonlinearity

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dc.creatorPikovsky, A. S.
dc.creatorShepelyansky, D. L.
dc.date2007-08-24
dc.date.accessioned2026-07-07T09:26:03Z
dc.date.available2026-07-07T09:26:03Z
dc.descriptionWe study numerically a spreading of an initially localized wave packet in a one-dimensional discrete nonlinear Schrödinger lattice with disorder. We demonstrate that above a certain critical strength of nonlinearity the Anderson localization is destroyed and an unlimited subdiffusive spreading of the field along the lattice occurs. The second moment grows with time $ \propto t^α$, with the exponent $α$ being in the range $0.3 - 0.4$. For small nonlinearities the distribution remains localized in a way similar to the linear case.
dc.description4 pages, 5 figs
dc.identifierhttps://arxiv.org/abs/0708.3315
dc.identifierhttp://arxiv.org/abs/0708.3315
dc.identifierPhys. Rev. Lett. v.100, p.094101 (2008)
dc.identifierdoi:10.1103/PhysRevLett.100.094101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156617
dc.subjectDisordered Systems and Neural Networks
dc.subjectChaotic Dynamics
dc.titleDestruction of Anderson localization by a weak nonlinearity
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